Texas Instruments TI-86 - Manual (Page 267)

Chapter 19: Applications
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19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 255 of 18 19APPS.DOC TI-86, Chap 19, US English Bob Fedorisko Revised: 02/13/01 2:41 PM Printed: 02/13/01 3:05 PM Page 255 of 18
ᕡ Select TOL from the MEM menu and set tol=1 .
ᕢ On the mode screen, set Radian angle mode and Param graphing mode.
ᕣ In the equation editor, enter the parametric equations for the power series approximation as
shown. Select sum and seq from the LIST OPS menu. Select ! from the MATH PROB menu.
» xt1=t yt1=sum seq(( L 1)^(j+1)t^(2j N 1) à ((2j N 1)(2j N 1)!),j,1,10,1)
ᕤ In the equation editor, enter the parametric equations as shown to plot the antiderivative of (sin x)àx
and compare it with the plot of the power series approximation. (Select fnInt from the CALC menu.)
¼ xt2=t yt2=fnInt((sin w) à w,w,0,t)
ᕥ Select WIND from the GRAPH menu and set the window variable values as shown.
tMin= L 15 xMin= L 15 yMin= L 3
tMax=15 xMax=15 yMax=3
tStep=0.5 xScl=1 yScl=1
ᕦ Select FORMT from the GRAPH menu and set SimulG format.
ᕧ Select GRAPH from the GRAPH menu to plot the parametric
equations on the graph screen.
ᕨ In the equation editor, modify yt1 to compute the first 16 terms of
the power series by changing 10 to 16 . Plot the equations again.
In this example, the window variable tStep controls the plotting
speed. Select WIND from the GRAPH menu and set tStep=1 and
observe the difference in plotting speed and curve smoothness.
If necessary, select ALL N
from the equation editor
menu to deselect all
functions. Also, turn off all
stat plots.
This example is set up in
Param
mode, which allows
you to control the solution
with tStep and increase
plotting speed.
To clear the menus from the
graph screen, press
: .